期刊
THERMAL SCIENCE
卷 20, 期 3, 页码 773-777出版社
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI1603773H
关键词
He's fractional derivative; Adomian's decomposition method; variational iteration method; exp-function method; fractional complex transform; fractional Fornberg-Whitham equation
This paper gives an explanation of fractional calculus in fractal space-time. On observable scales, continuum models can be used, however, when the scale tends to a smaller threshold, a fractional model has to be adopted to describe phenomena in micro/nano structure. A time-fractional Fornberg-Whitham equation is used as an example to elucidate the physical meaning of the fractional order, and its solution process is given by the fractional complex transform.
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